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Finding the Fourth Proportional to 822,842.40, 1,234,021.68 and 349,524

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Solution

The fourth proportional to 822,842.40, 1,234,021.68 and 349,524 is: 524,183.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,842.40 : 1,234,021.68 = 349,524 : x
  2. Step 2: Convert to fraction form
    822,842.40/1,234,021.68 = 349,524/x
  3. Step 3: Cross multiply
    822,842.40x = 1,234,021.68 × 349,524
  4. Step 4: Simplify right side
    822,842.40x = 431,320,193,680.32
  5. Step 5: Solve for x
    x = 431,320,193,680.32/822,842.40
  6. Step 6: Final answer
    x = 524,183.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.